Question Number 171873 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\frac{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:−\frac{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:\:=\mathrm{8}{x}\sqrt{{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2}} \\ $$ Commented by infinityaction last updated on…
Question Number 171872 by Shrinava last updated on 21/Jun/22 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{tan}^{\mathrm{4}} \:\mathrm{x}}\:\:+\:\:\frac{\mathrm{1}}{\mathrm{10}}\:\:=\:\:\frac{\mathrm{2}}{\mathrm{1}\:+\:\mathrm{3}\:\mathrm{tan}^{\mathrm{2}} \:\mathrm{x}} \\ $$ Answered by aleks041103 last updated on 21/Jun/22 $${t}={tan}^{\mathrm{2}} {x}…
Question Number 171869 by Mikenice last updated on 21/Jun/22 $${find}\:{the}\:{square}\:{root}\:{of}: \\ $$$$\sqrt{\frac{\mathrm{7}{x}^{\mathrm{2}} +\mathrm{2}\sqrt{\mathrm{14}}\:{x}+\mathrm{2}}{{x}^{\mathrm{2}} −\frac{\mathrm{1}}{\mathrm{2}}{x}\:+\frac{\mathrm{1}}{\mathrm{6}}}} \\ $$ Answered by floor(10²Eta[1]) last updated on 21/Jun/22 $$\mathrm{found}\:\mathrm{it},\:\mathrm{it}'\mathrm{s}\:\mathrm{right}\:\mathrm{above}\:\mathrm{my}\:\mathrm{answer} \\…
Question Number 171871 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\frac{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:\:+\:\:\frac{{x}−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{{x}+\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}\:=\mathrm{98} \\ $$ Commented by infinityaction last updated on 21/Jun/22…
Question Number 171868 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{1997}\left({x}−{y}\right),{find}\:{the}\:{positive}\:{integer}\:{solution}. \\ $$ Commented by Rasheed.Sindhi last updated on 21/Jun/22 $$\left({x},{y}\right)=\left(\mathrm{170},\mathrm{145}\right)… \\…
Question Number 171866 by Mikenice last updated on 21/Jun/22 $$\sqrt{{a}}+\sqrt{{b}}=\sqrt{\mathrm{2009}}.\:{find}\:{a}\:{and}\:{b}. \\ $$ Commented by infinityaction last updated on 21/Jun/22 $$\left\{\left(\mathrm{0},\mathrm{2009}\right),\left(\mathrm{41},\mathrm{41}×\mathrm{63}\right)\left(\mathrm{41}×\mathrm{4},\mathrm{41}×\mathrm{25}\right)\right. \\ $$$$\left.\left(\mathrm{41}×\mathrm{9},\mathrm{41}×\mathrm{16}\right)…\right\} \\ $$ Terms…
Question Number 171867 by Mikenice last updated on 21/Jun/22 $${solve}:\:{x}_{\mathrm{4}} ^{\mathrm{2}} =\mathrm{100100}_{\mathrm{2}} ,\:{find}\:{x}\:{and}\:{leave}\:{answer}\:{in}\:{base}\:\mathrm{2}. \\ $$ Answered by floor(10²Eta[1]) last updated on 21/Jun/22 $$\mathrm{100100}_{\mathrm{2}} =\mathrm{2}^{\mathrm{5}} +\mathrm{2}^{\mathrm{2}}…
Question Number 171861 by Mikenice last updated on 21/Jun/22 $${if}\: \\ $$$${ax}+{by}=\mathrm{5} \\ $$$${ax}^{\mathrm{2}} +{by}^{\mathrm{2}} =\mathrm{10} \\ $$$${ax}^{\mathrm{3}} +{by}^{\mathrm{3}} =\mathrm{50} \\ $$$${ax}^{\mathrm{4}} +{by}^{\mathrm{4}} =\mathrm{130} \\…
Question Number 171860 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\frac{\mathrm{4}{x}^{\mathrm{2}} }{\left[\mathrm{1}−\sqrt{\mathrm{1}+\mathrm{2}{x}}\right]^{\mathrm{2}} }<\mathrm{2}{x}+\mathrm{9} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 171854 by Mikenice last updated on 21/Jun/22 $${solve}: \\ $$$$\left(\mathrm{3}\sqrt{\mathrm{2}}\right)^{{n}} =\mathrm{3} \\ $$ Answered by Rasheed.Sindhi last updated on 21/Jun/22 $$\left(\mathrm{3}\sqrt{\mathrm{2}}\right)^{{n}} =\mathrm{3} \\…